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How do you simplify #-50- 2[ 3( 1- f ) - 3( - 2+ f ) ]#?

Answer 1

#12f-68#

The BEDMAS law* can be used to solve any simplification problem. If you work in this order, you'll get the answer: brackets, exponents, division, multiplication, addition, and subtraction.

First, expand all the brackets by multiplying the outside term with each of the inside ones, working from the inside out: #-50-2[3-3f+6-3f]#

Now add like terms, and expand again: #-50-2[9-6f] = -50-18+12f#

Then just add like terms again: #12f-68#

That's the answer! Keep in mind that if the signs are the same or different, the result of multiplying positives and negatives is positive.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.